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No description available. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
Singular solutions for elliptic problems (elasticity and heat transfer) are discussed. These may arise around corners in 2-D and along edges and vertices in 3-D domains. Derivation of singular solutions, charactized by eigenpairs and generalized stress/flux intensity factors (GSIF/GFIFs) are a major engineering importance (because of failure initiation and propagation). High-order FE methods are introduced, and special algorithms for extracting eigenpairs and GSIF/GFIFs are studied (Steklov, dual-function, ERR method, and others). 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
No description available. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
Methods of representing shape, the geometry of the space of shapes, warping and matching of shapes, and some applications to problems in computer vision and medical imaging. Prerequsite: See instructor for prerequisites. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
In molecular biology, inferences in high dimensions with missing data are common. A conceptual framework for Bayesian and frequentist inferrnces in this setting including: sequence alignment, RNA secondary structure prediction, database search, and functional genomics. Statistical topics: parameter estimation, hypothesis testing, and characterization of posterior spaces. Core course in proposed PhD program in computational molecular biology. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
This course will introduce current mathematical study for Boltzmann equation and Vlasov equation. We will study large time behavior and hydrodynamic limits for Boltzmann theory and instabilities in the Vlasov theory. Graduate PDE course is required. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
The course deals with the following problems: given a family of control systems S and a family of control systems S', when does there exist an appropriate embedding of S into S' ? Most of the course will deal with the families of linear control systems. Knowledge of control theory and mathematical sophistication are required. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
A sequal to AM 221 concentrating on similar material. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
In molecular biology, inferences in high dimensions with missing data are common. A conceptual framework for Bayesian and frequentist inferences in this setting including: sequence alignment. RNA secondary structure prediction, database search, and tiled arrays. Statistical topics: parameter estimation, hypothesis testing, recursions, and characterization of posterior spaces. Core course in proposed PhD program in computational molecular biology. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
The course deals with the following problems: given a family of control systems S and a family of control systems S', when does there exist an appropriate embedding of S into S' ? Most of the course will deal with the families of linear control systems. Knowledge of control theory and mathematical sophistication are required. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
Course begins with self-contained introduction to theory of "hyperbolic conservation laws", that is quasilinear first order systems of partial differential equations whose solutions spontaneously develop singularities that propagate as shock waves. A number of recent developments will be discussed. Aim is to familiarize the students with current status of the theory as well as with the expanding areas of applications of the subject. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
The theory of large deviations attempts to estimate the probability of rare events and identify the most likely way they happen. The course will begin with a review of the general framework, standard techniques (change¿of¿measure, subadditivity, etc.), and elementary examples (e.g., Sanov's and Cramer's Theorems). We then will cover large deviations for diffusion processes and the Wentsel¿Freidlin theory. The last part of the course will be one or two related topics, possibly drawn from (but not limited to) risk¿sensitive control; weak convergence methods; Hamilton¿Jacobi¿Bellman equations; Monte Carlo methods. Prerequisites: AM 263 and 264. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
TBA 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
We will cover discontinuous Galerkin methods for time-dependent and steady state problems. Stability and error estimates of different discontinuous Galerkin methods will be discussed. In particular, we will discuss in depth the local discontinuous Galerkin method. Prerequisite: APMA 2550 or equivalent knowledge of numerical analysis. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Prerequisites: Graduate level APMA 2550 Minimum Grade of S Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
No description available. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
The course will start by reviewing the theory of elliptic and parabolic equations in Holder spaces. Then we will discuss several topics in nonlinear elliptic and parabolic equations, for instance, the Navier-Stokes equation and Monge-Ampere type equations. This course is a sequel to APMA 2810V, but APMA 2810V is not a prerequisite. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
This course consists of two parts: a general introduction to variational methods in PDE, and a more focused foray into some special topics. For the former we will cover the direct method in the calculus of variations, various notions of convexity, Noether's theorem, minimax methods, index theory, and gamma-convergence. For the latter we will focus on several specific problems of recent interest, with emphasis on the Ginzburg-Landau energy functional. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
The course will cover basic and advanced algorithms for solution of linear and nonlinear systems as well as eigenvalue problems. 1.000 Credit Hours 1.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Primary Meeting Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
For graduate students who have met the tuition requirement and are paying the registration fee to continue active enrollment while preparing for a preliminary examination. 0.000 Credit Hours 0.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Grad Enrollment Fee/Dist Prep Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
Section numbers vary by instructor. Please check Banner for the correct section number and CRN to use when registering for this course. 1.000 TO 5.000 Credit Hours 1.000 TO 5.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Independent Study/Research Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
For graduate students who have met the tuition requirement and are paying the registration fee to continue active enrollment while preparing a thesis. 0.000 Credit Hours 0.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Grad Enrollment Fee/Dist Prep Graduate School College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
0.000 Credit Hours 0.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Do not Schedule Undergraduate College College Applied Mathematics Department Return to Previous New Search
Score: 5.0149603 Details | Listing | Web page
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